Format:
1 Online-Ressource (108 pages)
,
digital, PDF file(s)
ISBN:
9780511569258
Uniform Title:
Teoremy i zadachi kombinatornoĭ geometrii
Content:
In this short book, the authors discuss three types of problems from combinatorial geometry: Borsuk's partition problem, covering convex bodies by smaller homothetic bodies, and the illumination problem. They show how closely related these problems are to each other. The presentation is elementary, with no more than high-school mathematics and an interest in geometry required to follow the arguments. Most of the discussion is restricted to two- and three-dimensional Euclidean space, though sometimes more general results and problems are given. Thus even the mathematically unsophisticated reader can grasp some of the results of a branch of twentieth-century mathematics that has applications in such disciplines as mathematical programming, operations research and theoretical computer science. At the end of the book the authors have collected together a set of unsolved and partially solved problems that a sixth-form student should be able to understand and even attempt to solve
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521262989
Additional Edition:
ISBN 9780521269230
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521262989
Language:
English
DOI:
10.1017/CBO9780511569258
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